Questions: Use the distributive property to simplify the expression 6(4x-4-7y)

Solution Steps

To simplify the expression using the distributive property, we need to multiply each term inside the parentheses by the factor outside the parentheses. This means we will distribute the 6 to each term inside the parentheses.

To simplify the expression \(6(4x - 4 - 7y)\), we use the distributive property. This means we multiply each term inside the parentheses by 6: \[ 6 \cdot 4x + 6 \cdot (-4) + 6 \cdot (-7y) \]

Next, we perform the multiplication for each term: \[ 6 \cdot 4x = 24x \] \[ 6 \cdot (-4) = -24 \] \[ 6 \cdot (-7y) = -42y \]

Finally, we combine the terms to get the simplified expression: \[ 24x - 24 - 42y \]

Final Answer